Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

被引：5

作者：

Long, Yuhua ^{[1
,2
]}

Zhang, Yuanbiao ^{[3
]}

Shi, Haiping ^{[4
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China

[3] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China

[4] Guangdong Construct Polytech, Modern Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China

来源：

OPEN MATHEMATICS | 2016年 / 14卷

基金：

中国国家自然科学基金;

关键词：

Homoclinic solutions; 2nth-order; Nonlinear difference equations; Discrete variational theory; SUBHARMONIC SOLUTIONS; HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; ORBITS; EXISTENCE;

D O I：

10.1515/math-2016-0046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some known ones.

引用

页码：520 / 530

页数：11

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